506126530160 has 80 divisors (see below), whose sum is σ = 1190013375936. Its totient is φ = 200171741184.

The previous prime is 506126530157. The next prime is 506126530219. The reversal of 506126530160 is 61035621605.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 506126530160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8218202 + ... + 8279558.

Almost surely, 2^506126530160 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 506126530160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595006687968).

506126530160 is an abundant number, since it is smaller than the sum of its proper divisors (683886845776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506126530160 is a wasteful number, since it uses less digits than its factorization.

506126530160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62530 (or 62524 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 506126530160 in words is "five hundred six billion, one hundred twenty-six million, five hundred thirty thousand, one hundred sixty".